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Finding the Fourth Proportional to 758.90, 1,047.06 and 463.97

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Solution

The fourth proportional to 758.90, 1,047.06 and 463.97 is: 640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.90 : 1,047.06 = 463.97 : x
  2. Step 2: Convert to fraction form
    758.90/1,047.06 = 463.97/x
  3. Step 3: Cross multiply
    758.90x = 1,047.06 × 463.97
  4. Step 4: Simplify right side
    758.90x = 485,799.19
  5. Step 5: Solve for x
    x = 485,799.19/758.90
  6. Step 6: Final answer
    x = 640.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.